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Automorphic number
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71	LIST OF PUBLICATIONS OF EKNATH GHATE 1. Critical values of the twisted tensor L-function in the imaginary quadratic case. • Duke Math. J. 96, no[removed]), 595–[removed]Critical values of the twisted tensor L-functio Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2014-09-23 08:51:50 Automorphic forms Number theory Conjectures Analytic number theory Shimura variety Galois module Iwasawa theory Complex multiplication Langlands program Abstract algebra Mathematics Class field theory
72	(p, p)-GALOIS REPRESENTATIONS ATTACHED TO AUTOMORPHIC FORMS ON GLn EKNATH GHATE AND NARASIMHA KUMAR Abstract. We study the local reducibility at p of the p-adic Galois representation attached to a cuspidal automorphic re Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2011-11-01 06:31:16 Hodge theory Field theory Galois theory Number theory Galois module P-adic Hodge theory Weil group Algebraic number field Hodge structure Abstract algebra Algebra Algebraic number theory
73	A HECKE CORRESPONDENCE THEOREM FOR NONANALYTIC AUTOMORPHIC INTEGRALS PAUL C. PASLES Abstract. In this paper we prove a Riemann-Hecke-Bochner correspondence for nonanalytic automorphic integrals on the Hecke groups. We al Add to Reading List Source URL: pasles.org Language: English - Date: 2010-08-31 13:27:07 Modular form Complex number Transcendental numbers Operator theory Hecke operator Theorems and definitions in linear algebra Mathematical analysis Moduli theory Analytic number theory
74	ON THE SL(2) PERIOD INTEGRAL By U. K. ANANDAVARDHANAN and DIPENDRA PRASAD Abstract. Let E/F be a quadratic extension of number fields. For a cuspidal representation π of SL2 (AE ), we study in this paper the integral Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2006-12-22 11:45:58 Automorphic forms Langlands program Representation theory of Lie groups Automorphic L-function Cuspidal representation Whittaker model Fourier series Gelfand pair Abstract algebra Group theory Representation theory
75	Journal of Number Theory 80, 2543[removed]Article ID jnth[removed], available online at http:www.idealibrary.com on Tate Cycles on a Product of Two Hilbert Modular Surfaces V. Kumar Murty 1 Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2006-11-07 21:06:58 Representation theory of Lie groups Automorphic forms Representation theory Cuspidal representation Conjectures Number theory Modular form Algebraic number field Weil group Abstract algebra Algebra Class field theory
76	INTEGRAL MOMENTS OF AUTOMORPHIC L–FUNCTIONS Adrian Diaconu Paul Garrett Abstract. We obtain second integral moments of automorphic L–functions on adele groups GL2 over arbitrary number fields, by a spectral decompos Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2008-05-08 14:22:24 Fourier analysis Algebraic number field Convolution Fourier transform Pontryagin duality Eisenstein series Representation theory Rankin–Selberg method Mathematical analysis Abstract algebra Mathematics
77	The space of degenerate Whittaker models for GL(4) over p-adic fields Dipendra Prasad February 23, [removed] Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2007-02-23 14:07:10 Automorphic forms Conjectures Number theory Induced representation Admissible representation Langlands program Jacquet module Steinberg representation Discrete series representation Abstract algebra Representation theory of Lie groups Representation theory
78	SUBCONVEXITY BOUNDS FOR AUTOMORPHIC L–FUNCTIONS A. Diaconu and P. Garrett Abstract. We break the convexity bound in the t–aspect for L–functions attached to cuspforms f for GL2 (k) over arbitrary number fields k. Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2009-07-09 11:55:50 Analytic number theory Modular form Moduli theory Dirichlet character Hecke character Algebraic number field Symbol Spectral theory of ordinary differential equations Abstract algebra Mathematics Mathematical analysis
79	SMR[removed]Summer School and Conference on Automorphic Forms and Shimura Varieties[removed]July 2007 Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2009-06-14 04:53:26 Harmonic analysis Functional equation Algebraic number field Pontryagin duality Dirichlet character Dirichlet L-function Abstract algebra Mathematical analysis Mathematics
80	ON THE GLOBAL ROOT NUMBERS OF GL(n) × GL(m) DIPENDRA PRASAD AND DINAKAR RAMAKRISHNAN To Professor G. Shimura 1. Introduction Let F be a number field, n, m ≥ 1, and π = ⊗0v πv , π 0 = ⊗0v πv0 cuspidal, unitary Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2006-11-13 17:25:25 Automorphic forms Class field theory Representation theory of Lie groups Conjectures Langlands program Local Langlands conjectures Cuspidal representation Weil group Artin L-function Abstract algebra Algebra Mathematics

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